Search a number
-
+
490529928192 = 21035312592393
BaseRepresentation
bin1110010001101011101…
…11001011010000000000
31201220010212121012221020
413020311313023100000
531014101130200232
61013202450425440
750303534410503
oct7106567132000
91656125535836
10490529928192
1117a03a3a1377
127b099592280
1337345193aa5
1419a5560713a
15cb5e550e2c
hex7235dcb400

490529928192 has 176 divisors, whose sum is σ = 1333724978880. Its totient is φ = 160230473728.

The previous prime is 490529928167. The next prime is 490529928233. The reversal of 490529928192 is 291829925094.

It is a super-2 number, since 2×4905299281922 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204984148 + ... + 204986540.

Almost surely, 2490529928192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490529928192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666862489440).

490529928192 is an abundant number, since it is smaller than the sum of its proper divisors (843195050688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

490529928192 is a wasteful number, since it uses less digits than its factorization.

490529928192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 60.

The spelling of 490529928192 in words is "four hundred ninety billion, five hundred twenty-nine million, nine hundred twenty-eight thousand, one hundred ninety-two".